학술저널
ON NEARNESS SPACE
- 충청수학회
- Journal of the Chungcheong Mathematical Society
- Volume 8, No. 1
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1995.0619 - 27 (9 pages)
- 0
In 1974 H.Herrlichinventednearnessspaces, a very fruitful concept which enables one to unify topological aspects. In this paper, we introduce the Lindelöf nearness structure, countably bounded nearness structure and countably totally bounded nearness structure. And we show that (X, εL) is concrete and complete if and only if εL = εt in a symmetric topological space (X, t). Also we show that the following are equivalent in a symmetric topological space (X, t): (1) (X, εL) is countably totally bounded. (2) (X, εt) is countably totally bounded. (3) (X, t) is countably compact.
ABSTRACT
1. Introduction
2. The Lindelöf Nearness Space
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